48434688 has 120 divisors (see below), whose sum is σ = 146182608. Its totient is φ = 15409152.

The previous prime is 48434681. The next prime is 48434699. The reversal of 48434688 is 88643484.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48434681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105756 + ... + 106212.

Almost surely, 2^48434688 is an apocalyptic number.

48434688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73091304).

48434688 is an abundant number, since it is smaller than the sum of its proper divisors (97747920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48434688 is a wasteful number, since it uses less digits than its factorization.

48434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 48434688 is about 6959.5034305617. The cubic root of 48434688 is about 364.5178797531.

The spelling of 48434688 in words is "forty-eight million, four hundred thirty-four thousand, six hundred eighty-eight".